ABSTRACT
Problems ............................................................................... 9 1.1.2 Solution Methods of Differential Transfer Equations .........11
1.2 Experimental-Theoretical Method for Defining Physico-Mechanical Properties of Polymer Materials With Regard to Influence of Corrosive Liquid Medium................ 20 1.2.1 Linear Elastic Deformation Model of Polymer
Materials with Regard to Change of Physico-Chemical Properties ............................................................................ 32
1.2.2 Hooke’s Generalized Law for Polymer Material with Regard to Influence of Change of Physico-Chemical Properties ............................................................................ 39
1.2.3 On Changeability of Mass Force of Polymer Material with Regard to Change of Physico-chemical Properties.... 47
1.2.4 Elastico-Plastic Deformation Model of Polymer Material with Regard to Change of Physico-Chemical Properties ... 56
1.2.5 Experimental Determination of Temperature Influence of Velocity of Change of Physico-Chemical Properties of Polymer Materials Situated in Corrosive Liquid Medium ................................................................... 59
1.3 Longitudinal Stability of a Strip Under Swelling Forces ............... 65 Keywords ................................................................................................ 70
1.1 OBJECTIVE LAWS OF MASS-TRANSFER OF CORROSIVE LIQUID AND GASSY MEDIA IN POLYMER AND COMPOSITE MATERIALS AND SOLUTION METHODS OF DIFFERENTIAL TRANSFER EQUATIONS
The media transfer processes are based on diffusion phenomena, that is, spontaneous travel of atoms and molecules in consequence of their thermal motion. Depending on proceeding conditions of this process, there is an interdiffusion observed in the presence of concentration gradient or in the general case, the chemical potential gradient; secondly, a self-diffusion is observed when the above-mentioned ones are not available. Under interdiffusion, the diffusing particles flux is directed to the side of concentration decrease. As a result, the substances are distributed in the space, and local differences of potentials and concentrations are leveled. The characteristic quantity of such a process is the interdiffusion coefficient D. In the case of one-dimensional diffusion, the relation between the diffusing substance flux fi and the concentration gradient i
medium at rest is described by Fick’s differential equation:
According to this relation, D numerically equals the flux density with respect to the section R under the given concentration gradient. Simultaneously, D may be considered as velocity by which the system is capable to level the unit difference of concentrations.
